Answer:
Option D.
Step-by-step explanation:
First, let's do a little review of this excersice. Of the first 150 participants, 36 chose the first picture, and of the other 150 participants, p chose the first picture in the set.
Hence, the proportion of the participants who chose the first picture in the set is 36 300 p. Since more than 20% of all the participants chose the first picture, it follows that 36 0.20 300 !p . This inequality can be rewritten as p + 36 > 0.20(300). Since p is a number of people among the remaining 150 participants, p ≤ 150.
Choices A, B, and C are incorrect and may be the result of some incorrect interpretations of the given information or of computational errors.
Answer:
c
Step-by-step explanation:
Answer:
27/64 or any other equivalent form
Step-by-step explanation:
using quotient rule
f'(x) = =
using quotient rule again
f''(x) =
simplifying to make it easier to plug in
f''(x) =
=
=
=
f''(1) = =
Answer:
Option A
Step-by-step explanation:
The solution is in the attached file
Answer:
x = 1
y = 3
Step-by-step explanation:
We can solve this problem by inputting the second equation into the first equation by replacing the y variable with the second equation.
x + 3y = 10
y = x + 2
x + 3(x + 2) = 10
Now, distribute three with x and 2
3 * x = 3x
3 * 2 - 6
x + 3x + 6 = 10
4x + 6 = 10
Subtract 6 from both sides
4x = 4
So, x = 1
Solve for y by replacing x in the second equation with 1.
y = 1 + 2
y = 3